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On vacuum free boundary problems in ideal compressible magnetohydrodynamics. / Secchi, Paolo; Trakhinin, Yuri; Wang, Tao.

In: Bulletin of the London Mathematical Society, Vol. 55, No. 5, 10.2023, p. 2087-2111.

Research output: Contribution to journal › Article › peer-review

Harvard

Secchi, P, Trakhinin, Y & Wang, T 2023, 'On vacuum free boundary problems in ideal compressible magnetohydrodynamics', Bulletin of the London Mathematical Society, vol. 55, no. 5, pp. 2087-2111. https://doi.org/10.1112/blms.12913

APA

Secchi, P., Trakhinin, Y., & Wang, T. (2023). On vacuum free boundary problems in ideal compressible magnetohydrodynamics. Bulletin of the London Mathematical Society, 55(5), 2087-2111. https://doi.org/10.1112/blms.12913

Vancouver

Secchi P, Trakhinin Y, Wang T. On vacuum free boundary problems in ideal compressible magnetohydrodynamics. Bulletin of the London Mathematical Society. 2023 Oct;55(5):2087-2111. doi: 10.1112/blms.12913

Author

Secchi, Paolo ; Trakhinin, Yuri ; Wang, Tao. / On vacuum free boundary problems in ideal compressible magnetohydrodynamics. In: Bulletin of the London Mathematical Society. 2023 ; Vol. 55, No. 5. pp. 2087-2111.

BibTeX

@article{6371eb22cde0420f9e91833df7f70f8d,
title = "On vacuum free boundary problems in ideal compressible magnetohydrodynamics",
abstract = "We survey some recent results on vacuum free boundary problems in three-dimensional ideal compressible magnetohydrodynamics, restate the main theorems in our works (Secchi and Trakhinin, Nonlinearity 27(1) (2014) 105–169; Trakhinin and Wang, Arch. Ration. Mech. Anal. 239(2) (2021) 1131–1176; Trakhinin and Wang, Math. Ann. 383(1–2) (2022) 761–808; Trakhinin and Wang, SIAM J. Math. Anal. 54(6) (2022) 5888–5921), and provide an alternative proof for the linear well-posedness of the full plasma–vacuum interface problem under the noncollinearity condition.",
author = "Paolo Secchi and Yuri Trakhinin and Tao Wang",
note = "The research of Paolo Secchi was supported by the Italian MIUR Project PRIN 20204NT8W4-002. The research of Yuri Trakhinin was supported by Mathematical Center in Akademgorodok under Agreement Number: 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation. The research of Tao Wang was supported by the Fundamental Research Funds for the Central Universities under Grant Number: 2042022kf1183 and the National Natural Science Foundation of China under Grant Numbers: 11971359 and 12221001. Публикация для корректировки.",
year = "2023",
month = oct,
doi = "10.1112/blms.12913",
language = "English",
volume = "55",
pages = "2087--2111",
journal = "Bulletin of the London Mathematical Society",
issn = "0024-6093",
publisher = "John Wiley and Sons Ltd",
number = "5",

}

RIS

TY - JOUR

T1 - On vacuum free boundary problems in ideal compressible magnetohydrodynamics

AU - Secchi, Paolo

AU - Trakhinin, Yuri

AU - Wang, Tao

N1 - The research of Paolo Secchi was supported by the Italian MIUR Project PRIN 20204NT8W4-002. The research of Yuri Trakhinin was supported by Mathematical Center in Akademgorodok under Agreement Number: 075-15-2022-282 with the Ministry of Science and Higher Education of the Russian Federation. The research of Tao Wang was supported by the Fundamental Research Funds for the Central Universities under Grant Number: 2042022kf1183 and the National Natural Science Foundation of China under Grant Numbers: 11971359 and 12221001. Публикация для корректировки.

PY - 2023/10

Y1 - 2023/10

N2 - We survey some recent results on vacuum free boundary problems in three-dimensional ideal compressible magnetohydrodynamics, restate the main theorems in our works (Secchi and Trakhinin, Nonlinearity 27(1) (2014) 105–169; Trakhinin and Wang, Arch. Ration. Mech. Anal. 239(2) (2021) 1131–1176; Trakhinin and Wang, Math. Ann. 383(1–2) (2022) 761–808; Trakhinin and Wang, SIAM J. Math. Anal. 54(6) (2022) 5888–5921), and provide an alternative proof for the linear well-posedness of the full plasma–vacuum interface problem under the noncollinearity condition.

AB - We survey some recent results on vacuum free boundary problems in three-dimensional ideal compressible magnetohydrodynamics, restate the main theorems in our works (Secchi and Trakhinin, Nonlinearity 27(1) (2014) 105–169; Trakhinin and Wang, Arch. Ration. Mech. Anal. 239(2) (2021) 1131–1176; Trakhinin and Wang, Math. Ann. 383(1–2) (2022) 761–808; Trakhinin and Wang, SIAM J. Math. Anal. 54(6) (2022) 5888–5921), and provide an alternative proof for the linear well-posedness of the full plasma–vacuum interface problem under the noncollinearity condition.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85168463129&origin=inward&txGid=6bb50c0749ee13cd0d6b5a49ddaa9998

UR - https://www.mendeley.com/catalogue/f42f77ff-e158-3ea0-a7fa-d45641c5a288/

U2 - 10.1112/blms.12913

DO - 10.1112/blms.12913

M3 - Article

VL - 55

SP - 2087

EP - 2111

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 0024-6093

IS - 5

ER -

ID: 59284875